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3 years ago

12

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

s used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?

1 answer:

Paha777 [63]3 years ago

3 0

Answer: 12 minutes

Step-by-step explanation:

This is a standard Work Formula question (2 or more 'entities' that work on a task together). When there are just 2 entities and there are no 'twists' to the question, we can use the Work Formula to get to the correct answer.

Work = (A)(B)/(A+B) where A and B are the individual times needed to complete the task.

We're told that two hoses take 20 minutes and 30 minutes, respectively, to fill a pool. We're asked how long it takes the two hoses, working together, to fill the pool.

(20)(30)/(20+30) = 600/50 = 12 minutes to fill the pool.

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Step-by-step explanation:

From the question we are told that:

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Number of birds $n_b=2$

Number of gerbils $n_g=6$

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Generally the frequency for birds $F_b$ is mathematically given b

$F_b=\frac{n_b}{n}*100$

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$F_g=\frac{n_g}{n}*100$

$F_g=\frac{6}{14}*100$

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Generally the frequency for fish $F_f$ is mathematically given b

$F_f=\frac{n_f}{n}*100$

$F_f=\frac{3}{14}*100$

$F_f=21.4\%$

Generally the frequency for fish $F_h$ is mathematically given b

$F_h=\frac{n_h}{n}*100$

$F_h=\frac{3}{14}*100$

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